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40494090 = 23572132163
BaseRepresentation
bin1001101001111…
…0010000001010
32211012022110010
42122132100022
540331302330
64003532350
71001123400
oct232362012
984168403
1040494090
112094889a
121168a0b6
13850a700
145541470
15384d3b0
hex269e40a

40494090 has 144 divisors (see below), whose sum is σ = 123169248. Its totient is φ = 8491392.

The previous prime is 40494071. The next prime is 40494109. The reversal of 40494090 is 9049404.

It is an interprime number because it is at equal distance from previous prime (40494071) and next prime (40494109).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 248349 + ... + 248511.

It is an arithmetic number, because the mean of its divisors is an integer number (855342).

Almost surely, 240494090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40494090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61584624).

40494090 is an abundant number, since it is smaller than the sum of its proper divisors (82675158).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40494090 is a wasteful number, since it uses less digits than its factorization.

40494090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 40494090 is about 6363.4966802851. The cubic root of 40494090 is about 343.3975676048.

The spelling of 40494090 in words is "forty million, four hundred ninety-four thousand, ninety".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 49 65 70 78 91 98 105 130 147 163 169 182 195 210 245 273 294 326 338 390 455 489 490 507 546 637 735 815 845 910 978 1014 1141 1183 1274 1365 1470 1630 1690 1911 2119 2282 2366 2445 2535 2730 3185 3423 3549 3822 4238 4890 5070 5705 5915 6357 6370 6846 7098 7987 8281 9555 10595 11410 11830 12714 14833 15974 16562 17115 17745 19110 21190 23961 24843 27547 29666 31785 34230 35490 39935 41405 44499 47922 49686 55094 63570 74165 79870 82641 82810 88998 103831 119805 124215 137735 148330 165282 192829 207662 222495 239610 248430 275470 311493 385658 413205 444990 519155 578487 622986 826410 964145 1038310 1156974 1349803 1557465 1928290 2699606 2892435 3114930 4049409 5784870 6749015 8098818 13498030 20247045 40494090